Cremona's table of elliptic curves

126582 = 2 · 3 · 17² · 73

Class	r	Atkin-Lehner	Eigenvalues
126582a (4 curves)	1	2+ 3+ 17+ 73+	2+ 3+  0  4  6 -4 17+  8
Curve Equation t Generators 126582a1 [1,1,0,-562255,161611621] 2 [136626:282983:343] 126582a2 [1,1,0,-8989495,10370370157] 2 [118996:541333:64] 126582a3 [1,1,0,-2786110,-1657197452] 2 [72405081781767592:-5928848610515656415:10269253536256] 126582a4 [1,1,0,-9444670,9261509236] 2 [368023396:6818940643:140608]
126582b (2 curves)	1	2+ 3+ 17+ 73+	2+ 3+  2  2  2  2 17+  0
Curve Equation t Generators 126582b1 [1,1,0,-113149,13743037] 2 [599048:19429061:512] 126582b2 [1,1,0,94931,58813165] 2 [36830:2487215:8]
126582c (1 curve)	1	2+ 3+ 17+ 73+	2+ 3+  2  3 -2  2 17+  1
Curve Equation t Generators 126582c1 [1,1,0,112271,-11774507] 1 [17394:2285839:1]
126582d (2 curves)	1	2+ 3+ 17+ 73+	2+ 3+  2 -3  0  4 17+ -5
Curve Equation t Generators 126582d1 [1,1,0,-5029,144397] 1 [-54:539:1] 126582d2 [1,1,0,9931,-9562467] 1 [694:17879:1]
126582e (2 curves)	1	2+ 3+ 17+ 73+	2+ 3+ -2  0  4  0 17+  4
Curve Equation t Generators 126582e1 [1,1,0,-174119471,884205564645] 2 [-11203:1200995:1] 126582e2 [1,1,0,-162282031,1009604301541] 2 [-28482521803:-3080194918048:2571353]
126582f (2 curves)	1	2+ 3+ 17+ 73+	2+ 3+  4  0 -2  0 17+ -8
Curve Equation t Generators 126582f1 [1,1,0,-2173,13225] 2 [0:115:1] 126582f2 [1,1,0,-28183,1807915] 2 [205:2065:1]
126582g (1 curve)	2	2+ 3+ 17+ 73-	2+ 3+  0 -2 -1 -1 17+  5
Curve Equation t Generators 126582g1 [1,1,0,-14260,649552] 1 [-706:9227:8]&[69:-26:1]
126582h (1 curve)	0	2+ 3+ 17+ 73-	2+ 3+  2 -3  4 -1 17+  5
Curve Equation t 126582h1 [1,1,0,-1969,-56747] 1
126582i (2 curves)	0	2+ 3+ 17+ 73-	2+ 3+ -2  2 -2  4 17+ -4
Curve Equation t 126582i1 [1,1,0,-37431,-2692971] 2 126582i2 [1,1,0,-592311,-175704555] 2
126582j (1 curve)	1	2+ 3+ 17- 73-	2+ 3+  1 -4  0 -2 17- -6
Curve Equation t Generators 126582j1 [1,1,0,-357932,-82572282] 1 [989:22571:1]
126582k (1 curve)	1	2+ 3+ 17- 73-	2+ 3+  2 -1  4 -3 17-  3
Curve Equation t Generators 126582k1 [1,1,0,3208906,210527472] 1 [25327198:2739655086:2197]
126582l (1 curve)	1	2+ 3+ 17- 73-	2+ 3+ -4  1  0  3 17- -1
Curve Equation t Generators 126582l1 [1,1,0,-258227,50859885] 1 [214:2229:1]
126582m (1 curve)	0	2+ 3- 17+ 73+	2+ 3-  0  2  1 -1 17+  5
Curve Equation t 126582m1 [1,0,1,-4121291,3220097654] 1
126582n (1 curve)	0	2+ 3- 17+ 73+	2+ 3- -1  4  0 -2 17+ -6
Curve Equation t 126582n1 [1,0,1,-1239,-16880] 1
126582o (2 curves)	0	2+ 3- 17+ 73+	2+ 3-  2 -2  6 -2 17+  0
Curve Equation t 126582o1 [1,0,1,-95810,-2567356] 2 126582o2 [1,0,1,372370,-20170924] 2
126582p (1 curve)	2	2+ 3- 17+ 73+	2+ 3- -2  1 -4 -3 17+  3
Curve Equation t Generators 126582p1 [1,0,1,11103,43504] 1 [-1:180:1]&[62:-1017:1]
126582q (2 curves)	0	2+ 3- 17+ 73+	2+ 3- -2  2  6  6 17+ -8
Curve Equation t 126582q1 [1,0,1,-676894217,-6778489579396] 2 126582q2 [1,0,1,-676842197,-6779583518380] 2
126582r (1 curve)	2	2+ 3- 17+ 73+	2+ 3- -2 -5  2 -6 17+ -3
Curve Equation t Generators 126582r1 [1,0,1,-31652,2171666] 1 [-163:1815:1]&[-27:1747:1]
126582s (1 curve)	0	2+ 3- 17+ 73+	2+ 3-  4 -1  0  3 17+ -1
Curve Equation t 126582s1 [1,0,1,-74627754,250397008924] 1
126582t (2 curves)	0	2+ 3- 17+ 73+	2+ 3-  4  4  2  0 17+  0
Curve Equation t 126582t1 [1,0,1,-38956484,-92594968126] 2 126582t2 [1,0,1,-72665444,91590789314] 2
126582u (2 curves)	1	2+ 3- 17+ 73-	2+ 3-  0  2 -4 -6 17+ -4
Curve Equation t Generators 126582u1 [1,0,1,-1596,-3926] 2 [-23:155:1] 126582u2 [1,0,1,-18936,-1002710] 2 [-4940:3851:64]
126582v (2 curves)	1	2+ 3- 17+ 73-	2+ 3- -2  3  0  4 17+ -5
Curve Equation t Generators 126582v1 [1,0,1,-1453532,719596826] 1 [-283801:12772257:343] 126582v2 [1,0,1,2869908,-47000490086] 1 [3581:94131:1]
126582w (1 curve)	1	2+ 3- 17- 73+	2+ 3- -2  3 -4 -1 17-  5
Curve Equation t Generators 126582w1 [1,0,1,-569192,-274814026] 1 [1737:62203:1]
126582x (2 curves)	0	2- 3+ 17+ 73+	2- 3+  0  2 -4  4 17+  4
Curve Equation t 126582x1 [1,1,1,-3763,-89587] 2 126582x2 [1,1,1,-873,-220215] 2
126582y (4 curves)	2	2- 3+ 17+ 73+	2- 3+  0 -2  0 -4 17+ -4
Curve Equation t Generators 126582y1 [1,1,1,-271088,-46716847] 2 [2109:-94691:1]&[-301:2929:1] 126582y2 [1,1,1,468752,-256239535] 2 [613:15877:1]&[715:20739:1] 126582y3 [1,1,1,-21079088,-37258745263] 2 [-21210:10673:8]&[5799:185665:1] 126582y4 [1,1,1,-21067528,-37301637487] 2 [5339:46749:1]&[52774:2637105:8]
126582z (4 curves)	0	2- 3+ 17+ 73+	2- 3+  2  0  4  2 17+ -4
Curve Equation t 126582z1 [1,1,1,-5545627,5019011561] 2 126582z2 [1,1,1,-7025307,2127716841] 4 126582z3 [1,1,1,26683653,16649536809] 2 126582z4 [1,1,1,-64409147,-197407371607] 2
126582ba (1 curve)	1	2- 3+ 17- 73+	2- 3+ -3 -2 -4  2 17-  4
Curve Equation t Generators 126582ba1 [1,1,1,-45957,3539097] 1 [1190:589:8]
126582bb (4 curves)	1	2- 3- 17+ 73+	2- 3-  2  4  0 -2 17+ -4
Curve Equation t Generators 126582bb1 [1,0,0,-5497,122873] 2 [-14:451:1] 126582bb2 [1,0,0,-28617,-1759095] 4 [46740:10081515:1] 126582bb3 [1,0,0,23403,-7429275] 2 [1261974:272202203:27] 126582bb4 [1,0,0,-450557,-116442387] 2 [-449411970:232410569:1157625]
126582bc (1 curve)	1	2- 3- 17+ 73+	2- 3- -2  2  3 -1 17+  5
Curve Equation t Generators 126582bc1 [1,0,0,2306,421988] 1 [296:5054:1]
126582bd (1 curve)	0	2- 3- 17+ 73-	2- 3-  3  2  4  2 17+  4
Curve Equation t 126582bd1 [1,0,0,-159,711] 1

Data from Elliptic Curve Data by J. E. Cremona.
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